Elementary Linear Algebra with Applications : : MATLAB®, Mathematica® and Maplesoft™ / / George Nakos.

• Superior document: Title is part of eBook package: De Gruyter DG Plus DeG Package 2024 Part 1
• VerfasserIn: Nakos, George,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2024]; ©2024
• Year of Publication: 2024
• Language: English
• Series: De Gruyter Textbook
• Physical Description: 1 online resource (XXVIII, 672 p.)

This text offers a unique balance of theory and a variety of standard and new applications along with solved technology-aided problems. The book includes the fundamental mathematical theory, as well as a wide range of applications, numerical methods, projects, and technology-assisted problems and solutions in Maple, Mathematica, and MATLAB. Some of the applications are new, some are unique, and some are discussed in an essay. There is a variety of exercises which include True/False questions, questions that require proofs, and questions that require computations. The goal is to provide the student with is a solid foundation of the mathematical theory and an appreciation of some of the important real-life applications. Emphasis is given on geometry, matrix transformations, orthogonality, and least-squares. Designed for maximum flexibility, it is written for a one-semester/two semester course at the sophomore or junior level for students of mathematics or science.

Table of Contents

Frontmatter -- Preface -- Acknowledgment -- Contents -- 1 Linear systems -- 2 Vectors -- 3 Matrices -- 4 Vector spaces -- 5 Linear transformations -- 6 Determinants -- 7 Eigenvalues -- 8 Orthogonality and least squares -- 9 Quadratic forms, SVD, wavelets -- A Introduction to complex numbers -- B Uniqueness of RREF -- Answers to selected exercises -- Bibliography -- Index of Applications -- Index